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Finding the Fourth Proportional to 1,905.10, 2,856.31 and 734.12

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Solution

The fourth proportional to 1,905.10, 2,856.31 and 734.12 is: 1,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.10 : 2,856.31 = 734.12 : x
  2. Step 2: Convert to fraction form
    1,905.10/2,856.31 = 734.12/x
  3. Step 3: Cross multiply
    1,905.10x = 2,856.31 × 734.12
  4. Step 4: Simplify right side
    1,905.10x = 2,096,872.46
  5. Step 5: Solve for x
    x = 2,096,872.46/1,905.10
  6. Step 6: Final answer
    x = 1,100.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.